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Mathematics  2009 

Some Characterizations of Special Curves in the Euclidean Space $\mathrm{E}^4$

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Abstract:

In this work, first, we express some characterizations of helices and ccr curves in the Euclidean 4-space. Thereafter, relations among Frenet-Serret invariants of Bertrand curve of a helix are presented. Moreover, in the same space, some new characterizations of involute of a helix are presented.

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